東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

The development of the action princi...

Dittrich, Walter.

Linked to FindBook

Google Book

Amazon

博客來

The development of the action principle = a didactic history from Euler-Lagrange to Schwinger /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The development of the action principle/ by Walter Dittrich.
Reminder of title:	a didactic history from Euler-Lagrange to Schwinger /
Author:	Dittrich, Walter.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xv, 135 p. :ill., digital ;24 cm.
[NT 15003449]:	Short Historical Introduction -- Curva Elastica -- The Curva Elastica, a Curve of Least Energy -- From Euler to Lagrange -- Laplace and the Capillary - 1807 -- A Final Application in Elasticity with Jacobi Elliptic Functions -- Short List of Jacobi Elliptic Functions and Constants Used in Chapter 5 -- Variational Methods for Periodic Motions; Mathieu Functions -- Lagrangian for Isentropic Irrotational Flow -- Action Principle in Classical Electrodynamics -- The Two Giants in Gravity: Einstein and Hilbert -- The Quantum Action Principle -- The Action Principle in Quantum Field Theory -- Quantum Field Theory on Space-Like Hypersurfaces -- Lagrangian Formulation of Gauge Theories -- Effective Actions (Lagrangians) in Quantum Field Theory -- Modified Photon Propagation Function, Source Theory.
Contained By:	Springer Nature eBook
Subject:	Quantum theory - History. -
Online resource:	https://doi.org/10.1007/978-3-030-69105-9
ISBN:	9783030691059

The development of the action principle = a didactic history from Euler-Lagrange to Schwinger /
Dittrich, Walter.

The development of the action principlea didactic history from Euler-Lagrange to Schwinger /[electronic resource] :by Walter Dittrich. - Cham :Springer International Publishing :2021. - xv, 135 p. :ill., digital ;24 cm. - SpringerBriefs in physics,2191-5423. - SpringerBriefs in physics..

Short Historical Introduction -- Curva Elastica -- The Curva Elastica, a Curve of Least Energy -- From Euler to Lagrange -- Laplace and the Capillary - 1807 -- A Final Application in Elasticity with Jacobi Elliptic Functions -- Short List of Jacobi Elliptic Functions and Constants Used in Chapter 5 -- Variational Methods for Periodic Motions; Mathieu Functions -- Lagrangian for Isentropic Irrotational Flow -- Action Principle in Classical Electrodynamics -- The Two Giants in Gravity: Einstein and Hilbert -- The Quantum Action Principle -- The Action Principle in Quantum Field Theory -- Quantum Field Theory on Space-Like Hypersurfaces -- Lagrangian Formulation of Gauge Theories -- Effective Actions (Lagrangians) in Quantum Field Theory -- Modified Photon Propagation Function, Source Theory.

This book describes the historical development of the principle of stationary action from the 17th to the 20th centuries. Reference is made to the most important contributors to this topic, in particular Bernoullis, Leibniz, Euler, Lagrange and Laplace. The leading theme is how the action principle is applied to problems in classical physics such as hydrodynamics, electrodynamics and gravity, extending also to the modern formulation of quantum mechanics and quantum field theory, especially quantum electrodynamics. A critical analysis of operator versus c-number field theory is given. The book contains many worked examples. In particular, the term "vacuum" is scrutinized. The book is aimed primarily at actively working researchers, graduate students and historians interested in the philosophical interpretation and evolution of physics; in particular, in understanding the action principle and its application to a wide range of natural phenomena.

ISBN: 9783030691059

Standard No.: 10.1007/978-3-030-69105-9doiSubjects--Topical Terms:

533855
Quantum theory
--History.

LC Class. No.: QC173.98 / .D57 2021

Dewey Class. No.: 530.12

The development of the action principle = a didactic history from Euler-Lagrange to Schwinger /
LDR:02831nmm a2200337 a 4500 001 2240964
003 DE-He213
005 20210529163901.0
006 m d
007 cr nn 008maaau
008 211111s2021 sz s 0 eng d
020 $a 9783030691059 $q (electronic bk.)
020 $a 9783030691042 $q (paper)
024 7 $a 10.1007/978-3-030-69105-9 $2 doi
035 $a 978-3-030-69105-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QC173.98 $b .D57 2021
072 7 $a PHD $2 bicssc
072 7 $a SCI041000 $2 bisacsh
072 7 $a PHD $2 thema
082 0 4 $a 530.12 $2 23
090 $a QC173.98 $b .D617 2021
100 1 $a Dittrich, Walter. $3 633795
245 1 4 $a The development of the action principle $h [electronic resource] : $b a didactic history from Euler-Lagrange to Schwinger / $c by Walter Dittrich.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xv, 135 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in physics, $x 2191-5423
505 0 $a Short Historical Introduction -- Curva Elastica -- The Curva Elastica, a Curve of Least Energy -- From Euler to Lagrange -- Laplace and the Capillary - 1807 -- A Final Application in Elasticity with Jacobi Elliptic Functions -- Short List of Jacobi Elliptic Functions and Constants Used in Chapter 5 -- Variational Methods for Periodic Motions; Mathieu Functions -- Lagrangian for Isentropic Irrotational Flow -- Action Principle in Classical Electrodynamics -- The Two Giants in Gravity: Einstein and Hilbert -- The Quantum Action Principle -- The Action Principle in Quantum Field Theory -- Quantum Field Theory on Space-Like Hypersurfaces -- Lagrangian Formulation of Gauge Theories -- Effective Actions (Lagrangians) in Quantum Field Theory -- Modified Photon Propagation Function, Source Theory.
520 $a This book describes the historical development of the principle of stationary action from the 17th to the 20th centuries. Reference is made to the most important contributors to this topic, in particular Bernoullis, Leibniz, Euler, Lagrange and Laplace. The leading theme is how the action principle is applied to problems in classical physics such as hydrodynamics, electrodynamics and gravity, extending also to the modern formulation of quantum mechanics and quantum field theory, especially quantum electrodynamics. A critical analysis of operator versus c-number field theory is given. The book contains many worked examples. In particular, the term "vacuum" is scrutinized. The book is aimed primarily at actively working researchers, graduate students and historians interested in the philosophical interpretation and evolution of physics; in particular, in understanding the action principle and its application to a wide range of natural phenomena.
650 0 $a Quantum theory $x History. $3 533855
650 0 $a Schwinger action principle. $3 1050597
650 1 4 $a Classical Mechanics. $3 3216970
650 2 4 $a Astronomy, Astrophysics and Cosmology. $3 890823
650 2 4 $a History and Philosophical Foundations of Physics. $3 1066881
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Elementary Particles, Quantum Field Theory. $3 894026
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in physics. $3 1314314
856 4 0 $u https://doi.org/10.1007/978-3-030-69105-9
950 $a Physics and Astronomy (SpringerNature-11651)